116814255740280 has 1152 divisors, whose sum is σ = 458335507069440. Its totient is φ = 25272149760000.

The previous prime is 116814255740197. The next prime is 116814255740333. The reversal of 116814255740280 is 82047552418611.

116814255740280 is a `hidden beast` number, since 1 + 1 + 6 + 8 + 1 + 4 + 2 + 557 + 4 + 0 + 2 + 80 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 80506033555 + ... + 80506035005.

It is an arithmetic number, because the mean of its divisors is an integer number (397860683220).

Almost surely, 2^{116814255740280} is an apocalyptic number.

116814255740280 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116814255740280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229167753534720).

116814255740280 is an abundant number, since it is smaller than the sum of its proper divisors (341521251329160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

116814255740280 is a wasteful number, since it uses less digits than its factorization.

116814255740280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2113 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 116814255740280 in words is "one hundred sixteen trillion, eight hundred fourteen billion, two hundred fifty-five million, seven hundred forty thousand, two hundred eighty".